a.
To determine the area of the
The area is
Given:
The planet’s position at different times is shown below:
Calculation:
Now, calculating the height of the triangle as:
Here,
Now, area of the triangle is calculating as:
Hence, the area is
b.
To explain that as a planet moves closer to the sun along its orbit, what does Kepler’s law imply about the planet’s speed.
Interpretation:
Kepler’s law says it traverse equal areas in equal times. When the planet moves closer to sun, the planet’s speed must increase so as to cover the same area when the planet was traversing when it was far.
Chapter 9 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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